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Finding the Fourth Proportional to 1,554.11, 2,330.67 and 513.87

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Solution

The fourth proportional to 1,554.11, 2,330.67 and 513.87 is: 770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.11 : 2,330.67 = 513.87 : x
  2. Step 2: Convert to fraction form
    1,554.11/2,330.67 = 513.87/x
  3. Step 3: Cross multiply
    1,554.11x = 2,330.67 × 513.87
  4. Step 4: Simplify right side
    1,554.11x = 1,197,661.39
  5. Step 5: Solve for x
    x = 1,197,661.39/1,554.11
  6. Step 6: Final answer
    x = 770.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.